Abstract
The object of this note is to obtain information about the additive groups of local near-rings. It will be shown that the additive group of a torsion local near-ring is a bounded p -group. The torsion Abelian groups which are additive groups of local near-rings will be described completely. A method will be given to construct groups of almost any prime power order, which are not additive groups of local near-rings.
| Original language | English |
|---|---|
| Pages (from-to) | 743-747 |
| Number of pages | 5 |
| Journal | Communications in Algebra |
| Volume | 34 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 2006 |